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balanced n.  and  tau n.

First numbers that belong to both sets:

2, 9, 12, 56, 108, 156, 180, 184, 204, 225, 228, 232, 240, 344, 348, 384, 396, 424, 450, 468, 600, 612, 625, 632, 684, 824, 852, 856, 872, 880, 936, 2172, 2292, 2364, 2412, 2488, 2532, 2536, 2676, 2772, 2776, 2792, 2844, 2868, 2872, 2892, 2904, 2984, 3012, 3228, 3249, 3252, 3276, 3372, 3384, 3440, 3492, 3528, 3552, 3636, 3684, 3688, 3732, 3736, 3760, 3852, 3936, 3972, 4032, 8649, 8696, 8892, 9132, 9144, 9564, 9684, 9704, 9848, 10068, 10072, 10160, 10616, 10728, 10872, 10932, 10936, 10980, 10984, 11052, 11120, 11148, 11232, 11384, 11436, 11576, 11604, 11608, 11624, 11672, 11864, 11916, 11944, 12000, 12080, 12168, 12192, 12321, 12536, 12560, 12636, 12664, 12720, 12756, 12776, 13016, 13032, 13040, 13140, 13256, 13404, 13428, 13544, 13644, 13672, 13680, 13768, 13928, 13976, 14000, 14024, 14160, 14216, 14508, 14648, 14676, 14936, 14960, 14988, 15000, 15016, 15072, 15138, 15264, 15448, 15464, 15636, 15684, 15760, 15896, 15920, 15944, 16032, 16136, 16256, 17680, 18108, 18936, 19164, 19188, 19308, 19356, 19428, 19840, 19884, 19944, 20124, 20184, 20376, 20388, 20560, 22716, 23280, 23724, 24204, 24240, 24264, 24288, 24480, 24560, 25020, 25068, 25308, 25332, 25452, 25520, 25524, 25572, 25680, 25836, 25848, 26172, 26316, 26320, 26424, 26592, 26748, 26844, 26868, 27120, 27444, 27468, 27600, 27828, 28044, 28080, 28128, 28188, 28212, 28452, 28548, 28560, 29292, 29340, 29364, 29412, 29604, 30252, 30258, 30432, 30600, 30624, 30720, 30948, 31032, 31116, 31176, 31284, 31308, 31440, 31584, 31896, 31908, 32160, 32240, 32328, 32352, 32388, 32400, 33600, 34044, 34284, 34524, 34548, 34740, 34764, 34792, 34800, 35576, 35676, 35704, 35964, 36080, 36216, 36252, 36276, 36324, 36444, 36468, 36536, 36664, 36684, 36720, 36756, 36776, 36804, 37116, 37308, 37624, 37836, 37864, 37920, 38264, 38508, 38604, 38628, 38640, 38808, 38880, 39036, 39132.

Some larger examples :